November 30, 2008
How many do we need?
PlayGuest question time. gammafunction sent in this question. Completely worded and framed by him. Thanks buddy!
This conjecture was first suggested by 1, in mid-19th century. The first public reference to it was in a paper by 2, who was a famous 19th century British Mathematician. After several attempts by a number of people, this was finally proved in the last quarter of the 20th century by these guys-3.Though all countries in the world conform to this theorem only 4. 5. and 6. do not.
Just give me the name of the theorem and the two men in 3.
1. 
2. 
3. 
and
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Answer:
Yes sir, we need 4 colors. The answer is the “Four color theorem”. Read the comments for more details.
Like shenoyvarun86 pointed out, we had asked this question in a different form. But we liked the way this question was framed, so it was posted.
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November 30th, 2008 at 11:37 pm, GMT +0000 ( 1228088235 )
the four colour theorem..
kenneth appel and wofgang haken..
November 30th, 2008 at 11:46 pm, GMT +0000 ( 1228088791 )
1) Francis Guthrie
2) Arthur Cayley
3) The Four Color Theorem proved by Wolfgang Haken and Kenneth Appel…. which states that any map can be coloured with 4 colours with no two adjacent distinct region will recieve same colors….
4) USA
5) Azerbaijan
6) Russia
I am back… :)
December 1st, 2008 at 12:03 am, GMT +0000 ( 1228089786 )
Four Color Theorem – Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 12:14 am, GMT +0000 ( 1228090473 )
1)Francis GUthrie
2) Cayley
3)The Appel-Haken duo
4)The 4 colour theorem
if I am not wrong this question had appeared on boiledbeans, in a different form, earlier.
December 1st, 2008 at 12:19 am, GMT +0000 ( 1228090752 )
The four colour theorem
The two men are Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 12:20 am, GMT +0000 ( 1228090810 )
1. Francis Guthrie
2. Arthur Cayley
3. Kenneth Appel and Wolfgang Haken
Four Color Theorem
December 1st, 2008 at 12:59 am, GMT +0000 ( 1228093195 )
Guthrie, Cayley, Four Colour Theorem for maps, Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 1:06 am, GMT +0000 ( 1228093613 )
Four Color Theorem by Francis Guthrie.
Proved by Kenneth Appel and Wolfgang Haken of University of Illinois
December 1st, 2008 at 1:56 am, GMT +0000 ( 1228096601 )
Four color theorem
Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 2:13 am, GMT +0000 ( 1228097639 )
The four color theorem.
1) Francis Guthrie 2) Arthur Cayley 3)Kenneth Appel and Wolfgang Haken
U.S.A, Azerbaijan and Russia are non-contiguous countries.
December 1st, 2008 at 2:16 am, GMT +0000 ( 1228097781 )
The ‘Four Color’ theorem :-)
December 1st, 2008 at 2:57 am, GMT +0000 ( 1228100271 )
Is it the 4 colour theorem? that any map can be coloured by 4 distinct colours without two adjacent areas being coloured by the same colour…m guessing it from the cover of the book..as afaik the book is four colour suffice…
December 1st, 2008 at 4:07 am, GMT +0000 ( 1228104477 )
Four color theorem
Kenneth Appel & Wolfgang Haken
December 1st, 2008 at 4:09 am, GMT +0000 ( 1228104583 )
Four color theorem
Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 4:27 am, GMT +0000 ( 1228105632 )
Four Color theorem
December 1st, 2008 at 5:46 am, GMT +0000 ( 1228110387 )
Four Colour Theorem, proved by Wolfgang Haken and Kenneth Appel
December 1st, 2008 at 5:54 am, GMT +0000 ( 1228110862 )
Four Color Theorem…
1. South African Mathematician – Francis Guthrie
2. British Mathematician – Arthur Cayley
3. Kenneth Appel & Wolfgang Haken from University of Illinois Urbana- Champaign solved the Four Color Theorem in 1976
December 1st, 2008 at 6:01 am, GMT +0000 ( 1228111287 )
Four color theorem solved by Wolfgang Haken & Kenneth Appel
December 1st, 2008 at 7:11 am, GMT +0000 ( 1228115507 )
four colour theorem
December 1st, 2008 at 7:35 am, GMT +0000 ( 1228116905 )
Four colour theorem
Kenneth Appel & Wolfgang Haken
December 1st, 2008 at 7:55 am, GMT +0000 ( 1228118151 )
Robin Wilson and Paul Erdős ,four colored theorem ??
2-> cayley
December 1st, 2008 at 7:59 am, GMT +0000 ( 1228118341 )
Ok, I stand corrected ..it’s Kenneth Appel and Wolfgang Haken
1->De Morgan
December 1st, 2008 at 8:00 am, GMT +0000 ( 1228118429 )
I stand corrected again.. :D 1 is Francis Guthrie
December 1st, 2008 at 8:25 am, GMT +0000 ( 1228119945 )
The four color theorem
(3) Wolfgang Haken and Kenneth Appel – the guys who proved it.
Nice question, btw.
December 1st, 2008 at 8:43 am, GMT +0000 ( 1228120987 )
four color theorem
francis guthrie
arthur cayley
haken-appel
December 1st, 2008 at 8:49 am, GMT +0000 ( 1228121398 )
Four Color Theorem
1. Francis Guthrie
2. Arthur Caley
3. Kenneth Appel and Wolfgang Haken
4,5 and 6. The U.S, Azerbaijan and Russia are three countries that the theorem does not apply to cause they aren\’t contiguous
December 1st, 2008 at 9:19 am, GMT +0000 ( 1228123193 )
Four color theorem
Benjamin Werner and Georges Gonthier
USA, Azerbaijan, Russia (and a few others…)
December 1st, 2008 at 9:57 am, GMT +0000 ( 1228125459 )
The Four colours theorem.
The two guys are Haken and Kenneth Appel.
December 1st, 2008 at 10:39 am, GMT +0000 ( 1228127984 )
We need 4. :)
The Four Colour Map Theorem. Solved by Kenneth Appel and Wolfgang Haken.
December 1st, 2008 at 11:32 am, GMT +0000 ( 1228131133 )
Four Color Theorem
December 1st, 2008 at 12:24 pm, GMT +0000 ( 1228134273 )
3-Four color problem
4-Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 8:20 pm, GMT +0000 ( 1228162848 )
Four color theorem
1. Francis Guthrie
2. Arthur Cayley
3. Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 9:23 pm, GMT +0000 ( 1228166581 )
Four Color Theorem
Kenneth Appel and Wolfgang Haken
December 1st, 2008 at 9:23 pm, GMT +0000 ( 1228166624 )
The four color theorem in graph theory that states that four colors are enough to color regions in a map without adjacent states being of the same color.
the guys who proved it are kenneth appel and wolfgang haken
December 1st, 2008 at 9:41 pm, GMT +0000 ( 1228167664 )
the four colour map theorem
1. Francis Guthrie
2. Arthur Cayley
3. Kenneth appel & wolfgang haken (im guessing)
December 1st, 2008 at 10:35 pm, GMT +0000 ( 1228170943 )
4 Color Theorem the first theotem to be proved using a software, Pic 2 has Kenneth Appel and Wolfgang Haken, the guys who proved it
December 1st, 2008 at 11:15 pm, GMT +0000 ( 1228173326 )
Appel and Haken/ 4 colours.
Nice question!
December 2nd, 2008 at 12:40 pm, GMT +0000 ( 1228221652 )
Countries with non-contiguous regions may require more than 4 colours. The US, Azerbaijan and Russia aren\’t the only ones with non-contiguous regions. You just need to remove \
December 2nd, 2008 at 12:42 pm, GMT +0000 ( 1228221737 )
I think there is a problem with quotation marks in the comments.